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APS » Journals » Phys. Rev. D » Volume 61 » Issue 12
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Phys. Rev. D 61, 125006 (2000) [4 pages]

Knots in interaction

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Antti J. Niemi*
Department of Theoretical Physics, Uppsala University, P.O. Box 803, S-75108, Uppsala, Sweden;
Helsinki Institute of Physics, P.O. Box 9, FIN-00014 University of Helsinki, Finland;
The Mittag-Leffler Institute Auravägen 17, S-182 62 Djursholm, Sweden

Received 19 February 1999; published 19 May 2000

We study the geometry of interacting knotted solitons. The interaction is local and advances either as a three-body or as a four-body process, depending on the relative orientation and degeneracy of the solitons involved. The splitting and adjoining is governed by a four-point vertex in combination with duality transformations. The total linking number is preserved during the interaction. It receives contributions both from the twist and the writhe, which are variable. Therefore solitons can twine and coil and links can be formed.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.61.125006
DOI:
10.1103/PhysRevD.61.125006
PACS:
11.10.Lm, 11.27.+d

*Email address: NIEMI@TEORFYS.UU.SE

 
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